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Author
Date
2021Type
- Journal Article
ETH Bibliography
yes
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Abstract
We reveal relations between the duality of capacities and the duality between Sobolev extendability of Jordan domains in the plane, and explain how to read the curve conditions involved in the Sobolev extendability of Jordan domains via the duality of capacities. Finally as an application, we give an alternative proof of the necessary condition for a Jordan planar domain to be W 1,q -extension domain when 2 < q < ∞. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000487093Publication status
publishedExternal links
Journal / series
Complex Analysis and its SynergiesVolume
Pages / Article No.
Publisher
SpringerSubject
Capacity; Sobolev extension domainOrganisational unit
09565 - Figalli, Alessio / Figalli, Alessio
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ETH Bibliography
yes
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